Proper time to bevel?
One way would be to start with a plane.

I like to work with the 'Mirror Modifier' so in Edit Mode press W and Subdivide. Then select 5 vertices and hit X to delete them.



Add a 'Mirror Modifier' and check 'Y' and 'Clipping' in the Modifier pane ('X' is checked by default).



Add two 'Loop Cuts' by pressing Ctrl+R. Approximately where the monitor would be (They can be move later with Ctrl+E > Edge Slide). One horizontal and one vertical.



Select the corner vertex and press Ctrl+B then V. Adjust with mouse and roll the mouse wheel to add vertices/smooth. Keep the number of vertices to an even number in case you want to add geometry later.



Select the outer vertices and press E+S to extrude scale.





Now you have a simple base mesh to work with. Possible result below with some additional extrusion: